 | Joseph Victor Collins - Algebra - 1911 - 330 pages
...<¿^ ~d' b a b~ d' d a+b 13. The bisector of an angle of a triangle, whether interior or exterior, divides the opposite side into segments which are proportional to the other two sides. Thus, if ABC is a triangle and CD and CD' are the bisectors of the interior and exterior angle С,... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of the other are to each other as the products of the sides including the equal angles, prove that the bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. Ex. 1126. In a circle of radius 5 a regular hexagon is inscribed.... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...b'c'' be b'c'' sas § 334, (2) Why? Ax. 4 Ax. 1 AA'B'C' 338. COROLLARY. The bisector of an interior angle of a triangle divides the opposite side into segments which are to each other as the adjacent sides of the triangle. AT at a Suggestion. — — = — = - . ., AT... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...AABC AA'B'C'' e "v' be :w' bc § 334, (2) Why? Ax. 4 Ax. 1 338. COROLLARY. The bisector of an interior angle of a triangle divides the opposite side into segments which are to each other as the adjacent side's of the triangle. AT at a AT Suggestion. But also This corollary... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...side is to its corresponding segment, then t/te line is parallel to the third side. 149. Theorem III. The bisector of an angle of a triangle divides the...opposite side into segments which are proportional to the sides of the angle. 150. Theorem IV. If a series of parallels be cut by two lines, the corresponding... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...side is to its corresponding segment, then the line is parallel to the third side 149. Theorem III. The bisector of an angle of a triangle divides the...opposite side into segments which are proportional to the sides of the angle. Given the A ABC and the bisector CD of Z C. To prove that AD/DB = AC/BC. Proof.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...•. NC = DP : PC. Prove that MQ is parallel to .VP. PROPOSITION XVII. THEOREM 301. The angle bisector of a triangle divides the opposite side into segments...are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. To prove AB : BC = AD : DC. Proof. Draw AE II DB, to meet CB, produced,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...AC, that meets BC in (?. Prove that FG II AB. • PROPOSITION XVII. THEOREM 301. The angle bisector of a triangle divides the opposite side into segments...are proportional to the other two sides. Given in A ABC, BD bisecting Z ABC. To prove AB : BC = AD : DC. Proof. Draw AS II DB, to meet CB, produced,... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...segments having the same ratio, the line is said to be divided harmonically. PROPOSITIOK XI. THEOREM 279. The bisector of an angle of a triangle divides the...opposite side into segments which are proportional to the adjacent sides. M Given the bisector of the angle C of the triangle ABC, meeting AB at M. To prove... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...is to its corresponding segment, then the line is parallel to the third side 149. Theorem III. Tlie bisector of an angle of a triangle divides the opposite side into segments which are proportional to the sides of the angle. Given the A ABC and the bisector CD of Z C. To prove that AD/DB = AC /BC. Proof.... | |
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Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides. 
